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Finding the Third Proportional to 143,392 and 226,992

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Solution

The third proportional to 143,392 and 226,992 is: 359,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,392 : 226,992 = 226,992 : x
  2. Step 2: Convert to fraction form
    143,392/226,992 = 226,992/x
  3. Step 3: Cross multiply
    143,392x = 226,992 × 226,992
  4. Step 4: Simplify right side
    143,392x = 51,525,368,064
  5. Step 5: Solve for x
    x = 51,525,368,064/143,392
  6. Step 6: Final answer
    x = 359,332.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.